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Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Mind Reading

Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I know?

Prime Magic

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

Thousands and Millions

Age 11 to 14 Challenge Level:


Do human beings live for as long as a million hours?

If you have been alive for a million seconds, how many birthdays have you had?

What year was it one billion minutes ago?

How long would it take to count to a million?

Suppose you were worth your weight in £1 coins. How much would you be worth?

Could you fit the population of London into one hundred thousand double-decker buses?

Could you run one thousand metres in one minute?

Could you eat exactly one tonne of food in a year without altering your weight dramatically?

Could you walk as much as one hundred thousand miles during your lifetime?

Could one thousand drink cans fit into one cubic metre?




The questions are taken from Tony Gardiner's Maths Challenge, Book 1, Oxford University Press 2000.